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Finding the Third Proportional to 810,240 and 1,758,720

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Solution

The third proportional to 810,240 and 1,758,720 is: 3,817,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,240 : 1,758,720 = 1,758,720 : x
  2. Step 2: Convert to fraction form
    810,240/1,758,720 = 1,758,720/x
  3. Step 3: Cross multiply
    810,240x = 1,758,720 × 1,758,720
  4. Step 4: Simplify right side
    810,240x = 3,093,096,038,400
  5. Step 5: Solve for x
    x = 3,093,096,038,400/810,240
  6. Step 6: Final answer
    x = 3,817,505.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.